Details

sample270.0ms

Algorithm

intervals

Results

186.0ms	154×	body	1280	valid
41.0ms	51×	body	640	valid
13.0ms	26×	body	320	valid
2.0ms	18×	body	80	valid
2.0ms	7×	body	160	valid

simplify78.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	56	38
1	98	38
2	182	38
3	309	38
4	609	38
5	2169	38
6	5001	38

prune6.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 24.7b

Counts

2 → 1

localize33.0ms

Local error

Found 4 expressions with local error:

3.6b	(sin (/ (- lambda1 lambda2) 2.0))
3.6b	(sin (/ (- lambda1 lambda2) 2.0))
3.6b	(sin (/ (- lambda1 lambda2) 2.0))
3.6b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `div-sub` `sin-diff` `add-cbrt-cube` `add-log-exp`

Counts

4 → 32

Calls

4 calls:

5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
8.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series144.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(sin (/ (- lambda1 lambda2) 2.0))
39.0ms	(sin (/ (- lambda1 lambda2) 2.0))
35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify193.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	54	248
1	89	216
2	188	216
3	373	216
4	1242	216
5	4970	216
6	5002	216

prune346.0ms

Filtered

44 candidates to 40 candidates (90.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	35	9	44
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	36	9	45

Merged error: 24.1b

Counts

45 → 9

localize37.0ms

Local error

Found 4 expressions with local error:

3.6b	(sin (/ (- lambda1 lambda2) 2.0))
3.6b	(sin (/ (- lambda1 lambda2) 2.0))
3.6b	(sin (/ (- lambda1 lambda2) 2.0))
7.5b	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`unpow-prod-down` `div-sub` `cube-prod` `sin-diff`
1×	`cube-mult` `pow1/3` `unpow3` `rem-cbrt-cube` `sqr-pow`

Counts

4 → 45

Calls

4 calls:

8.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
6.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

series145.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
40.0ms	(sin (/ (- lambda1 lambda2) 2.0))
35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
35.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

simplify83.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 4 (77.0ms)

Iter	Nodes	Cost
0	106	313
1	282	309
2	784	309
3	3070	309
4	5002	291

prune418.0ms

Filtered

57 candidates to 43 candidates (75.4%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	51	6	57
Fresh	2	6	8
Picked	1	0	1
Done	0	0	0
Total	54	12	66

Merged error: 24.1b

Counts

66 → 12

localize40.0ms

Local error

Found 4 expressions with local error:

3.6b	(sin (/ (- lambda1 lambda2) 2.0))
3.6b	(sin (/ (- lambda1 lambda2) 2.0))
7.5b	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))
7.5b	(cbrt (pow (cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3)) 3))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

72×	`cbrt-prod`
24×	`unpow-prod-down` `cube-prod`
16×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `cube-mult` `unpow3` `add-cbrt-cube` `add-log-exp` `sqr-pow`
2×	`pow1/3` `div-sub` `sin-diff` `rem-cbrt-cube`

Counts

4 → 82

Calls

4 calls:

5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
6.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))
9.0ms	(cbrt (pow (cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3)) 3))

series152.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
40.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))
41.0ms	(cbrt (pow (cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3)) 3))

simplify105.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 4 (95.0ms)

Iter	Nodes	Cost
0	210	624
1	401	620
2	1016	620
3	3784	620
4	5001	548

prune490.0ms

Filtered

94 candidates to 46 candidates (48.9%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	89	5	94
Fresh	1	10	11
Picked	0	1	1
Done	0	0	0
Total	90	16	106

Merged error: 24.1b

Counts

106 → 16

localize40.0ms

Local error

Found 4 expressions with local error:

3.6b	(sin (/ (- lambda1 lambda2) 2.0))
3.6b	(sin (/ (- lambda1 lambda2) 2.0))
3.6b	(sin (/ (- lambda1 lambda2) 2.0))
3.6b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `div-sub` `sin-diff` `add-cbrt-cube` `add-log-exp`

Counts

4 → 32

Calls

4 calls:

5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series153.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(sin (/ (- lambda1 lambda2) 2.0))
35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
41.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify197.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	54	248
1	89	216
2	188	216
3	373	216
4	1242	216
5	4970	216
6	5002	216

prune326.0ms

Filtered

44 candidates to 40 candidates (90.9%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	40	4	44
Fresh	1	13	14
Picked	1	0	1
Done	0	1	1
Total	42	18	60

Merged error: 24.0b

Counts

60 → 18

regimes1.3s

Accuracy

0% (0.6b remaining)

Error of 24.2b against oracle of 23.6b and baseline of 24.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	42
1	41	42

end0.0ms

sample7.8s

Algorithm

intervals

Results

5.7s	4817×	body	1280	valid
1.4s	1893×	body	640	valid
285.0ms	562×	body	320	valid
71.0ms	521×	body	80	valid
70.0ms	210×	body	160	valid